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Turn Away Thy Son
A historical account of the efforts of nine African-American students to integrate Central High School draws on interviews to offer insight into the behind-the-scenes experiences of the students and members of their community.
The Fundamental Theorem of Algebra
The fundamental theorem of algebra states that any complex polynomial must have a complex root. This book examines three pairs of proofs of the theorem from three different areas of mathematics: abstract algebra, complex analysis and topology. The first proof in each pair is fairly straightforward and depends only on what could be considered elementary mathematics. However, each of these first proofs leads to more general results from which the fundamental theorem can be deduced as a direct consequence. These general results constitute the second proof in each pair. To arrive at each of the proofs, enough of the general theory of each relevant area is developed to understand the proof. In addition to the proofs and techniques themselves, many applications such as the insolvability of the quintic and the transcendence of e and pi are presented. Finally, a series of appendices give six additional proofs including a version of Gauss'original first proof. The book is intended for junior/senior level undergraduate mathematics students or first year graduate students, and would make an ideal "capstone" course in mathematics.
Hearings
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Strategy and Tactics of World Communism
Investigates statements in Harvey M. Matusow's book "False Witness" that he repeatedly gave false information while acting as an informant for congressional committees investigating communist activities.
Finitely Presented Groups
This book contains surveys and research articles on the state-of-the-art in finitely presented groups for researchers and graduate students. Overviews of current trends in exponential groups and of the classification of finite triangle groups and finite generalized tetrahedron groups are complemented by new results on a conjecture of Rosenberger and an approximation theorem. A special emphasis is on algorithmic techniques and their complexity, both for finitely generated groups and for finite Z-algebras, including explicit computer calculations highlighting important classical methods. A further chapter surveys connections to mathematical logic, in particular to universal theories of various classes of groups, and contains new results on countable elementary free groups. Applications to cryptography include overviews of techniques based on representations of p-groups and of non-commutative group actions. Further applications of finitely generated groups to topology and artificial intelligence complete the volume. All in all, leading experts provide up-to-date overviews and current trends in combinatorial group theory and its connections to cryptography and other areas.
Submerged Lands
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The World of Consumption
Consumption has become one of the leading topics across the social sciences and vocational disciplines such as marketing and business studies. In this comprehensively updated and revised new edition, traditional approaches as well as the most recent literature are fully addressed and incorporated, with wide reference to theoretical and empirical work. Fine's refreshing and authoritative text includes a critical examination of such themes as: * economics imperialism and globalization * the world of commodities * systems of provision and culture * the consumer society * public consumption. This book presents an updated analysis of the cluttered landscape of studies of consumption that will make it required reading for students from a wide range of backgrounds including political economy, history and social science courses generally.
Our Gang
Our Gang provides a fascinating historical portrait of the Jewish criminal world from the era of mass immigration through Prohibition and beyond. Jenna Weissman Joselit traces the origins, nature, patterns, location, and impact of Jewish crime from the early years, when it was inextricably bound up with the East Side community as a whole, with criminals living among the more or less law-abiding citizens they preyed upon, to the post-World War I period and the gradual assimilation and absorption of Jewish crime into the mainstream of the American underworld. Parallel with this theme is a broader one: the New York Jewish community's reaction to Jewish crime, evolving from disbelief to denial to concern and the establishment of a network of correctional and preventive agencies, and finally—as the nature of Jewish crime changed, and as the community itself felt a growing sense of security—a sort of acceptance.
Abstract Algebra
Abstract algebra is the study of algebraic structures like groups, rings and fields. This book provides an account of the theoretical foundations including applications to Galois Theory, Algebraic Geometry and Representation Theory. It implements the pedagogic approach to conveying algebra from the perspective of rings. The 3rd edition provides a revised and extended versions of the chapters on Algebraic Cryptography and Geometric Group Theory.
